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NDA2013MathematicsIndefinite IntegrationActual

What is e^ e^x e^x d x equal to? where c is an arbitrary constant.

Options

  1. Ae^ e^x +c
  2. B2 e^ e^x +c
  3. Ce^ e^x e^x+c
  4. D2 e^ e^x e^x+c

Correct answer

A. e^ e^x +c

Step-by-step solution

I = e^ e^x e^x d x Let e^ e^x =y then, e^x= (y) and, e^x d x= 1 y d y aligned I & = y 1 y d y & = d y=y+c & =e^ e^x +c aligned

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